13025766341088 has 288 divisors, whose sum is σ = 38291030249472. Its totient is φ = 4198063334400.

The previous prime is 13025766341053. The next prime is 13025766341099. The reversal of 13025766341088 is 88014366752031.

13025766341088 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 576 + 63 + 4 + 1 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395410698 + ... + 395443638.

It is an arithmetic number, because the mean of its divisors is an integer number (132954966144).

Almost surely, 2^{13025766341088} is an apocalyptic number.

13025766341088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13025766341088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19145515124736).

13025766341088 is an abundant number, since it is smaller than the sum of its proper divisors (25265263908384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13025766341088 is a wasteful number, since it uses less digits than its factorization.

13025766341088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33358 (or 33347 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 13025766341088 in words is "thirteen trillion, twenty-five billion, seven hundred sixty-six million, three hundred forty-one thousand, eighty-eight".